16+2(x+4)(x-4)-x=-x+16

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Solution for 16+2(x+4)(x-4)-x=-x+16 equation:


Simplifying
16 + 2(x + 4)(x + -4) + -1x = -1x + 16

Reorder the terms:
16 + 2(4 + x)(x + -4) + -1x = -1x + 16

Reorder the terms:
16 + 2(4 + x)(-4 + x) + -1x = -1x + 16

Multiply (4 + x) * (-4 + x)
16 + 2(4(-4 + x) + x(-4 + x)) + -1x = -1x + 16
16 + 2((-4 * 4 + x * 4) + x(-4 + x)) + -1x = -1x + 16
16 + 2((-16 + 4x) + x(-4 + x)) + -1x = -1x + 16
16 + 2(-16 + 4x + (-4 * x + x * x)) + -1x = -1x + 16
16 + 2(-16 + 4x + (-4x + x2)) + -1x = -1x + 16

Combine like terms: 4x + -4x = 0
16 + 2(-16 + 0 + x2) + -1x = -1x + 16
16 + 2(-16 + x2) + -1x = -1x + 16
16 + (-16 * 2 + x2 * 2) + -1x = -1x + 16
16 + (-32 + 2x2) + -1x = -1x + 16

Reorder the terms:
16 + -32 + -1x + 2x2 = -1x + 16

Combine like terms: 16 + -32 = -16
-16 + -1x + 2x2 = -1x + 16

Reorder the terms:
-16 + -1x + 2x2 = 16 + -1x

Add 'x' to each side of the equation.
-16 + -1x + x + 2x2 = 16 + -1x + x

Combine like terms: -1x + x = 0
-16 + 0 + 2x2 = 16 + -1x + x
-16 + 2x2 = 16 + -1x + x

Combine like terms: -1x + x = 0
-16 + 2x2 = 16 + 0
-16 + 2x2 = 16

Solving
-16 + 2x2 = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + 2x2 = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 2x2 = 16 + 16
2x2 = 16 + 16

Combine like terms: 16 + 16 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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